simplicial
Adjective
Meaning
simplicial (not comparable)
Having to do with, or having, simplices.
Examples
De Rham showed that all of these approaches were interrelated and that, for a closed, oriented manifold, the Betti numbers derived through simplicial homology were the same Betti numbers as those derived through de Rham cohomology.
A simplex A is a coface of a simplex B if B is a face of A. Face and facet can have different meanings when describing types of simplices in a simplicial complex ; see simplical complex for more detail.
The edge-path group acts naturally by concatenation, preserving the simplicial structure, and the quotient space is just X. It is well known that this method can also be used to compute the fundamental group of an arbitrary topological space.
It is one of only four 4-connected simplicial well-covered polyhedra, meaning that all of the maximal independent sets of its vertices have the same size.
Simplicial complexes should not be confused with the more abstract notion of a simplicial set appearing in modern simplicial homotopy theory.
The universal covering space of a finite connected simplicial complex X can also be described directly as a simplicial complex using edge-paths.